Fluctuations in a Spin Glass model with 1RSB

. We discuss Gaussian fluctuations in a spin glass model with one replica symmetry breaking and we show how non-perturbative fluctuations of the break-point parameter can be included in the longitudinal propagator within linear response theory. The aim of this letter is to discuss the fluctuations and more generally the corrections to the mean field theory of spin glass models where first order replica symmetry breaking occurs. We remind to the reader that replica symmetry can be broken in two different ways [1]: ffl The function q(x) is discontinuous and it takes only a finite number of values (in most cases two). Here the function P (q) is the sum of a finite number of delta functions. For example in the case of only one step (1RSB) we have q m (x) = q 0 for x ! m; q m (x) = q 1 for x ? m: (1) The corresponding function P (q) is given by P (q) = mffi(q \Gamma q 0 ) + (1 \Gamma m)ffi(q \Gamma q 1 ): (2) ffl The function q(x) is a continuous function and in this case also the funct..